4x+5y=-13; 5x-2y=-8 solve elimination method

Step by step

4x + 5y = - 13

2 (4x + 5y) = 2 (-13)

8x + 10y = - 26 (equation 1)

5x - 2y = - 8

5 (5x - 2y) = 5 (-8)

25x - 10y = - 40 (equation 2)

equation 1 + equation 2,

(8x + 10y) + (25x - 10y) = (-26) + (-40)

8x + 10y + 25x - 10y = - 26 + - 40

33x = - 66

x = - 2

substitute x = - 2 into equation 1,

8x + 10y = - 26

8 (-2) + 10y = - 26

-16 + 10y = - 26

10y = - 10

y = - 1

The values of x and y are - 2 and - 1 respectively.